In this paper, due to the importance of High Impedance Surfaces (HIS) as artificial magnetic conductor (AMC), new structures as unit cells has been introduced from nature and spider webs. For performance comparison, first two known structures of HIS, sievenpiper mushroom without via and with via designed with the same dimensions and the results are compared with the proposed structures. At first a number of string structures with the shift frequency of zero phase ability are designed. Design purposes are to reduce the frequency of zero phases with acceptable bandwidth and also zero phase frequency shift by changing the thickness of the webs. Design in 2 to 3 GHz frequency band and has been done by HFSS software.